\[U\left(-\frac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim 2\pi^{\frac{1}{2}}\mu^{%
\frac{1}{3}}g(\mu)\phi(\zeta)\*\left(\operatorname{Ai}\left(\mu^{\frac{4}{3}}%
\zeta\right)\sum_{s=0}^{\infty}\frac{A_{s}(\zeta)}{\mu^{4s}}+\frac{%
\operatorname{Ai}'\left(\mu^{\frac{4}{3}}\zeta\right)}{\mu^{\frac{8}{3}}}\sum_%
{s=0}^{\infty}\frac{B_{s}(\zeta)}{\mu^{4s}}\right),\]